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Finding the Fourth Proportional to 297,164.20, 410,084.20 and 161,197.80

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Solution

The fourth proportional to 297,164.20, 410,084.20 and 161,197.80 is: 222,451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,164.20 : 410,084.20 = 161,197.80 : x
  2. Step 2: Convert to fraction form
    297,164.20/410,084.20 = 161,197.80/x
  3. Step 3: Cross multiply
    297,164.20x = 410,084.20 × 161,197.80
  4. Step 4: Simplify right side
    297,164.20x = 66,104,670,854.76
  5. Step 5: Solve for x
    x = 66,104,670,854.76/297,164.20
  6. Step 6: Final answer
    x = 222,451.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.